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Evaluate the following integral: int0^(p...

Evaluate the following integral: `int_0^(pi//2)1/(5cos x+3sinx)dx`

A

`log(8+sqrt(13))+log(8-sqrt(34))`

B

`log((8+sqrt(34))/(8-sqrt(34)))`

C

`(1)/(sqrt(34))log((8+sqrt(34))/(8-sqrt(34)))`

D

`sqrt(34)log(8+sqrt(34))`

Text Solution

Verified by Experts

The correct Answer is:
C
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